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Finding the Fourth Proportional to 5,283.04, 7,290.64 and 3,692

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Solution

The fourth proportional to 5,283.04, 7,290.64 and 3,692 is: 5,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.04 : 7,290.64 = 3,692 : x
  2. Step 2: Convert to fraction form
    5,283.04/7,290.64 = 3,692/x
  3. Step 3: Cross multiply
    5,283.04x = 7,290.64 × 3,692
  4. Step 4: Simplify right side
    5,283.04x = 26,917,042.88
  5. Step 5: Solve for x
    x = 26,917,042.88/5,283.04
  6. Step 6: Final answer
    x = 5,094.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.